Search a number
-
+
383041140 = 2235192771213
BaseRepresentation
bin10110110101001…
…011111001110100
3222200202111122220
4112311023321310
51241024304030
6102001522340
712330540006
oct2665137164
9880674586
10383041140
11187242529
12a83433b0
1361484481
1438c2c376
1523963a10
hex16d4be74

383041140 has 96 divisors (see below), whose sum is σ = 1133973120. Its totient is φ = 96339456.

The previous prime is 383041097. The next prime is 383041163. The reversal of 383041140 is 41140383.

It is a self number, because there is not a number n which added to its sum of digits gives 383041140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315174 + ... + 316386.

It is an arithmetic number, because the mean of its divisors is an integer number (11812220).

Almost surely, 2383041140 is an apocalyptic number.

383041140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566986560).

383041140 is an abundant number, since it is smaller than the sum of its proper divisors (750931980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

383041140 is a wasteful number, since it uses less digits than its factorization.

383041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 383041140 is about 19571.4368404571. The cubic root of 383041140 is about 726.2427452881.

The spelling of 383041140 in words is "three hundred eighty-three million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 277 285 380 554 570 831 1108 1140 1213 1385 1662 2426 2770 3324 3639 4155 4852 5263 5540 6065 7278 8310 10526 12130 14556 15789 16620 18195 21052 23047 24260 26315 31578 36390 46094 52630 63156 69141 72780 78945 92188 105260 115235 138282 157890 230470 276564 315780 336001 345705 460940 672002 691410 1008003 1344004 1382820 1680005 2016006 3360010 4032012 5040015 6384019 6720020 10080030 12768038 19152057 20160060 25536076 31920095 38304114 63840190 76608228 95760285 127680380 191520570 383041140